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Multiobjective network scheduling with efficient use of renewable and nonrenewable resources. (English) Zbl 0455.90049


MSC:

90B35 Deterministic scheduling theory in operations research
90C90 Applications of mathematical programming
90C31 Sensitivity, stability, parametric optimization
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[1] Benayoun, B.; de Montgolfier, J.; Tergny, J.; Laritchev, O., Linear programming with multiple objective functions: step method (STEM), Math. Prog., 1, 336-375 (1972) · Zbl 0242.90026
[2] Cooper, W.; Charnes, A., Goal programming and multiple objective optimizations, Europ. J. Operational Res., 1, 39-54 (1977), Part I · Zbl 0375.90079
[3] Davis, E. W., Project scheduling under resource constraints - historical review and categorization of procedures, AIIE Trans., 5, 297-313 (1973)
[4] Khachian, L. G., A polynomial - bounded algorithm for linear programming, Dokl. Akad. Nauk SSSR, 244, 1093-1096 (1979) · Zbl 0414.90086
[5] Lin, S.; Kernighan, B. W., An effective heuristic for the traveling salesman problem, Operations Res., 21, 498-516 (1973) · Zbl 0256.90038
[6] Little, J. D.C.; Murty, K. G.; Sweeny, D. W.; Karel, C., An algorithm for the traveling salesman problem, Operations Res., 11, 972-989 (1963) · Zbl 0161.39305
[7] Roy, B., Problems and methods with multiple objective functions, Math. Prog., 1, 239-266 (1971) · Zbl 0254.90061
[8] Słowiński, R., Optimal and heuristic procedures for project scheduling with multiple constrained resources — a survey, Found. Control Engng., 2, 33-49 (1977) · Zbl 0373.90032
[9] Słowiński, R., Modèles et méthodes d’allocation optimale de moyens limités dans le complexe d’operations orientations nouvelles, Cybernetica, 21, 125-139 (1978) · Zbl 0385.90057
[10] Słowiński, R., A node ordering heuristic for network scheduling under multiple resource constraints, Found. Control Engrg., 3, 19-27 (1978) · Zbl 0384.90050
[11] Słowiński, R., Scheduling preemptable tasks on unrelated processors with additional resources to minimize schedule length, (Bracchi, G.; Lockemann, P. C., Information Systems Methodology - Lecture Notes in Computer Science, 65 (1978), Springer: Springer Berlin), 536-547
[12] R. Słowiński, Two approaches to problems of resource allocation among project activities - a comparative study, J. Operational Res. Soc. to appear.; R. Słowiński, Two approaches to problems of resource allocation among project activities - a comparative study, J. Operational Res. Soc. to appear. · Zbl 0439.90042
[13] Słowiński, R., Allocation de ressources limitées parmi des tâches exécutées par un ensemble de machines indépendantes, (Pelegrin, M.; Delmas, J., Comparison of Automatic Control and Operational Research Techniques Applied to Large Systems Analysis and Control (1979), Pergamon Press: Pergamon Press Oxford), 189-195 · Zbl 0449.90052
[14] Steuer, R. E., An interactive multiple objective linear programming procedure, (Starr, M. K.; Zeleny, M., Multiple Criteria Decision Making — TIMS Studies in the Management Sciences, 6 (1977), North-Holland: North-Holland Amsterdam), 225-239
[15] Talbot, F. B.; Patterson, J. H., An efficient integer programming algorithm with network cuts for solving resource-constrained project scheduling problem, Manag. Sci., 24, 1163-1174 (1978) · Zbl 0395.90036
[16] Wȩglarz, J., New models and procedures for resource allocation problems, (Proc. of the 6th Internet Congress, Vol. 2 (1979), VDI GmbH: VDI GmbH Düsseldorf), 521-530
[17] Wȩglarz, J., On certain models of resource allocation problems, Kybernetes, 9, 61-66 (1979) · Zbl 0421.90049
[18] Wȩglarz, J.; Błazewicz, J.; Cellary, W.; Słowiński, R., Algorithm 520: An automatic revised simplex method for constrained resource network scheduling, ACM Trans. on Mathematical Software, 3, 295-300 (1977) · Zbl 0374.90033
[19] Zimmermann, H.-J., Fuzzy programming and linear programming with several objective functions, Fuzzy Sets and Systems, 1, 45-55 (1978) · Zbl 0364.90065
[20] Zionts, S.; Wallenius, J., An interactive programming for solving the multiple criteria problem, Manag. Sci., 22, 652-663 (1976) · Zbl 0318.90053
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